What kind of a number will have 15 factors?
Table of Contents
What kind of a number will have 15 factors?
Table of Factors and Multiples
Factors | Multiples | |
---|---|---|
1, 13 | 13 | 26 |
1, 2, 7, 14 | 14 | 28 |
1, 3, 5, 15 | 15 | 30 |
1, 2, 4, 8, 16 | 16 | 32 |
How do you find all the factors of 15?
15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15.
What are the factors of greatest 4-digit number?
Prime factors of 9999 Therefore, 9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.
What is the prime factorization 15?
So, the prime factorization of 15 is 3 × 5, where 3 and 5 both are prime numbers.
What is the multiple of 15?
The first 5 multiples of 15 are 15, 30, 45, 60 and 90.
How many factors does the number 36 have?
9 factors
Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Is 15 a multiple of its factors?
We can say 3 and 5 are the factors of 15. The product 15 may also be given the name of ‘multiple’. Thus, 15 is the multiple of the factors 3 and 5.
Is 15 a multiple of each factor?
The terms factor and multiple are sometimes confused with each other. Factors of 15 include 3 and 5; multiples of 15 include 30, 45, 60 (and more). See more below and at multiple.
What are the multiple of 15?
How do you find the number of factors of 15?
We have 15 = 1 × 15 = 3 × 5. For a number to have 15 factors, it must assume one of the following form: (1) p 14 where p is a prime number. (2) ( p 1) 2 × ( p 2) 4 where p 1 and p 2 are pairs of prime numbers.
How many factors does a number with 4 prime factors have?
Consider a number y that has three prime factors, a, b and c. Then ab, ac, bc, abc and ‘1’ are prime factors. In general, if a number z has n prime factors, we can combine these in 2 n ways, thereby giving 2 n factors. Thus a number with 4 prime factors would have exactly 16 factors.
How can a number have 16 factors?
The only other way that a number might have sixteen factors is if it is a seventh power multiplied by another prime number. e.g. 2^7×3 = 384 has 8×2 factors. 384^2 = 2^14.3^2 = 147456 should therefore have 15×3 = 45 factors.
How to find the factors of a product number?
The original numbers are factors of the product number. If a x b = c then a and b are factors of c. Say you wanted to find the factors of 16. You would find all pairs of numbers that when multiplied together resulted in 16. We know 2 and 8 are factors of 16 because 2 x 8 = 16. 4 is a factor of 16 because 4 x 4 = 16.